Cohesion given Stability Number for Cohesive Soil Calculator

Cohesion of Soil Formula:

\[ c = S_n \times (\gamma \times h_{cs}) \]

Cohesion of Soil (c):

1. What is Cohesion given Stability Number Calculator?

Definition: This calculator determines the cohesion of cohesive soil based on stability number, unit weight of soil, and critical depth.

Purpose: It helps geotechnical engineers assess soil strength parameters for slope stability analysis and foundation design.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ c = S_n \times (\gamma \times h_{cs}) \]

Where:

\( c \) — Cohesion of soil (kPa)
\( S_n \) — Stability Number (dimensionless)
\( \gamma \) — Unit weight of soil (kN/m³)
\( h_{cs} \) — Critical depth for stability number (m)

Explanation: The stability number is multiplied by the product of unit weight and critical depth to determine soil cohesion.

3. Importance of Cohesion Calculation

Details: Cohesion is a critical parameter in geotechnical engineering that affects slope stability, bearing capacity, and earth pressure calculations.

4. Using the Calculator

Tips: Enter the stability number, unit weight of soil (typically 16-20 kN/m³ for most soils), and critical depth. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical stability number range?
A: Stability numbers typically range from 0.1 to 2.5 depending on slope angle and soil conditions.

Q2: How is critical depth determined?
A: Critical depth is determined through geotechnical analysis and depends on soil properties and loading conditions.

Q3: What affects soil cohesion values?
A: Cohesion is affected by soil type, moisture content, density, and stress history.

Q4: Why is ±5% shown for inputs?
A: This indicates the typical accuracy range for these parameters in field conditions.

Q5: How is this used in slope stability analysis?
A: The calculated cohesion helps determine the factor of safety against slope failure.